35431420464 has 200 divisors, whose sum is σ = 112411168320. Its totient is φ = 10685001600.

The previous prime is 35431420369. The next prime is 35431420471. The reversal of 35431420464 is 46402413453.

35431420464 is a `hidden beast` number, since 3 + 54 + 3 + 142 + 0 + 464 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3002127 + ... + 3013905.

Almost surely, 2^35431420464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35431420464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56205584160).

35431420464 is an abundant number, since it is smaller than the sum of its proper divisors (76979747856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35431420464 is a wasteful number, since it uses less digits than its factorization.

35431420464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12021 (or 12006 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 35431420464 in words is "thirty-five billion, four hundred thirty-one million, four hundred twenty thousand, four hundred sixty-four".